2536638 has 32 divisors (see below), whose sum is σ = 5787936. Its totient is φ = 734208.

The previous prime is 2536631. The next prime is 2536643. The reversal of 2536638 is 8366352.

It is a super-3 number, since 3×2536638³ = 48966237760783338216, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2536599 and 2536608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (180873).

2^2536638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2536638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893968).

2536638 is an abundant number, since it is smaller than the sum of its proper divisors (3251298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2536638 is a wasteful number, since it uses less digits than its factorization.

2536638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948.

The product of its digits is 25920, while the sum is 33.

The square root of 2536638 is about 1592.6826425877. The cubic root of 2536638 is about 136.3806736692.

It can be divided in two parts, 25 and 36638, that added together give a palindrome (36663).

The spelling of 2536638 in words is "two million, five hundred thirty-six thousand, six hundred thirty-eight".